SLOPES, SLOPES OF PARALLEL LINES, SLOPES OF PERPENDICULAR LINES

Peepers Gray

Question:

What is the slope of the red line?

http://www.basic-mathematics.com/images/slope6.gif
http://www.basic-mathematics.com/images/slope6.gif

http://www.basic-mathematics.com/images/slope6.gif

Answer:

The slope of the red line is 4.

Question:

What is the slope of each given line? Are the two lines parallel?

external image C06_S6-4_P277_002.png
http://cnx.org/content/m22014/latest/C06_S6-4_P277_002.png

Answer:

The Slope is 1/2. Yes they two lines are parallel.

Question:

What is the slope of each given line? Are the two lines perpendicular?
external image slopes66.gif
http://www.whyworkfortheman.com/wp-content/uploads/slopes-perpendicular-lines.gif

Answer:

The slope of line B is -3/4 and the slope of line A is 7/6. No they are not.



Kelly Stokes

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 width="162" height="135"]]
1. Are these lines Perependicular? How do you know?
Yes, because they are opposite reciprocals.


2.external image slope.gif
2. What is the slope of the red line?

Answer:3


external image Image1414.gif
3. Are these line parallel? How do you know?
Yes, because they all have the same slope.







Slope, Slope of Parallel Lines, Slope of Perpendicular Line

Katherine Barnthouse


Slope Intercept Form
Slope Intercept Form



http://curriculumaid.com/Math/Geometry/unit1lesson2.html


1. Calculate the Slope of the Line Above Rise

Run

Which passes through the Points (0,3) and (1, 5)


Answer: m= 2



external image images?q=tbn:ANd9GcTnohWxW01DRtkp3g2oJ1EmqQ8RzYCoO3Mog_n76wSQx7PPdUI&t=1&usg=___e8HKkha2pvDaGlLeHrvAVqXjDs=




http://hotmath.com/help/gt/genericalg1/section_2_8.html


2. Are the lines above Perpendicular why or why not?


Answer: Yes, because the product of the slopes are equal to -1 and they are opposite reciprocals


external image parall21.gif


http://www.doyourmath.com/parallel-and-perpendicular-lines-1.html


3. Are the Above Lines Parallel, why or why not?

Slope of Lines, Parallel Lines, and Perpendicular LinesBy Hailey Waldenmeyer
Question 1: What is the slope of the red line below?Solve by using rise over run.
external image slopeplane3a.gif
http://www.learningwave.com/lwonline/algebra_section2/graphics/slopeplane3a.gifAnswer: The slope of the red line is 3/4.Question2: Are the slopes of the lines identical? If so what is the slope and does this make them parallel?
external image C10_S10-1_P05_001.jpg
http://cnx.org/content/m18881/latest/C10_S10-1_P05_001.jpgAnswer: Yes, the slopes of the lines are identical, which means the lines are also parallel. The slopes of the lines are 1. Question 3: Are the lines perpendicular to one another why or why not?
external image perpneg4.gif
http://mathforum.org/cgraph/cslope/pictures/use/perpneg4.gif


Answer: Yes, the lines above are perpendicular to one another because the product of the slopes are equal to -1 and are opposite reciprocals of one another.